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Finding the Third Proportional to 258,218 and 557,224

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Solution

The third proportional to 258,218 and 557,224 is: 1,202,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,218 : 557,224 = 557,224 : x
  2. Step 2: Convert to fraction form
    258,218/557,224 = 557,224/x
  3. Step 3: Cross multiply
    258,218x = 557,224 × 557,224
  4. Step 4: Simplify right side
    258,218x = 310,498,586,176
  5. Step 5: Solve for x
    x = 310,498,586,176/258,218
  6. Step 6: Final answer
    x = 1,202,466.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.